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252585169 is a prime number
BaseRepresentation
bin11110000111000…
…10010011010001
3122121021122201021
433003202103101
51004130211134
641021435441
76154636624
oct1703422321
9577248637
10252585169
1111a639a81
127070bb81
13404392a5
142578ddbb
15172950b4
hexf0e24d1

252585169 has 2 divisors, whose sum is σ = 252585170. Its totient is φ = 252585168.

The previous prime is 252585131. The next prime is 252585173. The reversal of 252585169 is 961585252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243734544 + 8850625 = 15612^2 + 2975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252585169 is a prime.

It is a super-2 number, since 2×2525851692 = 127598535197517122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252595169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126292584 + 126292585.

It is an arithmetic number, because the mean of its divisors is an integer number (126292585).

Almost surely, 2252585169 is an apocalyptic number.

It is an amenable number.

252585169 is a deficient number, since it is larger than the sum of its proper divisors (1).

252585169 is an equidigital number, since it uses as much as digits as its factorization.

252585169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216000, while the sum is 43.

The square root of 252585169 is about 15892.9282701458. The cubic root of 252585169 is about 632.1244889431.

The spelling of 252585169 in words is "two hundred fifty-two million, five hundred eighty-five thousand, one hundred sixty-nine".